A General Proposition for nth Root (n = odd prime) of a positive real number by the Interval-Weighted Denominator method and determination of 5th and 7th roots as proofs-of-concept

The interval-weighted denominator described previously for square-roots and cube roots of positive real numbers is adapted for the fifth and seventh roots of positive real numbers. This follows from a general proposition for the determination of the n th root (where n = odd prime) of positive real numbers. That combined with square root already described allows for the determination of any natural number root of positive real numbers.